Magneto-hydrodynamics of coupled fluid–sheet interface with mass suction and blowing

• The momentum equation is modelled for both the surrounding MHD fluid and the sheet with the effects of mass suction and blowing.
• The current study further investigates the heat and mass transfer characteristics between a permeable sheet and the surrounding electrically conducting fluid across the thermal and mass boundary layers.
• Both the approximated and analytical techniques have been included for the purpose of comparison, and the perfect numerical agreements have been established with the previous studies.
• Dual solutions for the skin friction coefficients are found for various categories of the sheet.
• The movement of an electrically conducting fluid over an elastic sheet is much slower as compared to a stretching sheet.
• A high viscous fluid such as oil has slow down the ow over an elastic stretching sheet and, as a result, the electrically conducting fluid having high viscosity will appear to coat the sheet, whereas the viscosity of water has rapidly increased the motion of an electrically conducting fluid over an elastic stretching sheet.
• The study is applicable to a system involving fluid flow over various types of soft surfaces such as synthetic plastics, soft synthetic rubber sheet and fibres. Thus, the main contribution of this study is the depth of fluid flow analysis on the fluid–sheet interface and it's applications in engineering, which attract the readers.

There are large number of studies which prescribe the kinematics of the sheet and ignore the sheet's mechanics. However, the current boundary layer analysis investigates the mechanics of both the electrically conducting fluid and a permeable sheet, which makes it distinct from the other studies in the literature. One of the objectives of the current study is to (i) examine the behaviour of magnetic field effect for both the surface and the electrically conducting fluid (ii) investigate the heat and mass transfer between a permeable sheet and the surrounding electrically conducting fluid across the hydro, thermal and mass boundary layers. Self-similar solutions are obtained by considering the RK45 technique. Analytical solution is also found for the stretching sheet case. The skin friction dual solutions are presented for various types of sheet. The influence of pertinent parameters on the dimensionless velocity, shear stress, temperature, mass concentration, heat and mass transfer rates on the fluid–sheet interface is presented graphically as well as numerically. The obtained results are of potential benefit for studying the electrically conducting flow over various soft surfaces such as synthetic plastics, soft silicone sheet and soft synthetic rubber sheet. These surfaces are easily deformed by thermal fluctuations or thermal stresses.